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Symmetries and conservation laws for a sixth-order Boussinesq equation

Author

Listed:
  • Recio, E.
  • Gandarias, M.L.
  • Bruzón, M.S.

Abstract

This paper considers a generalization depending on an arbitrary function f(u) of a sixth-order Boussinesq equation which arises in shallow water waves theory. Interestingly, this equation admits a Hamiltonian formulation when written as a system. A classification of point symmetries and conservation laws in terms of the function f(u) is presented for both, the generalized Boussinesq equation and the equivalent Hamiltonian system.

Suggested Citation

  • Recio, E. & Gandarias, M.L. & Bruzón, M.S., 2016. "Symmetries and conservation laws for a sixth-order Boussinesq equation," Chaos, Solitons & Fractals, Elsevier, vol. 89(C), pages 572-577.
    • Handle: RePEc:eee:chsofr:v:89:y:2016:i:c:p:572-577
    DOI: 10.1016/j.chaos.2016.03.029
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    Cited by:

    1. Yıldırım, Yakup & Yaşar, Emrullah, 2018. "A (2+1)-dimensional breaking soliton equation: Solutions and conservation laws," Chaos, Solitons & Fractals, Elsevier, vol. 107(C), pages 146-155.

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